MinT - Information on Result #520325

Information on Result #520325

There is no (37, 110, 58)-net in base 2, because extracting embedded OOA would yield OOA(2¹¹⁰, 58, S₂, 2, 73), but

the (dual) Plotkin bound for OOAs shows that MÂ â‰¥ 62307 562302 417931 542365 955950 641152 / 37 > 2¹¹⁰ [i]

Mode: Bound.

Optimality

Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

	Result		This result only	Method
1	No (37, 111, 58)-net in base 2	[i]		m-Reduction
2	No (37, 112, 58)-net in base 2	[i]
3	No (37, 113, 58)-net in base 2	[i]
4	No (37, 114, 58)-net in base 2	[i]
5	No (37, 115, 58)-net in base 2	[i]
6	No (37, 116, 58)-net in base 2	[i]
7	No (37, 117, 58)-net in base 2	[i]
8	No (37, 118, 58)-net in base 2	[i]
9	No (37, 119, 58)-net in base 2	[i]
10	No (37, 120, 58)-net in base 2	[i]
11	No (37, 121, 58)-net in base 2	[i]
12	No (37, 122, 58)-net in base 2	[i]
13	No (37, 123, 58)-net in base 2	[i]
14	No (37, 124, 58)-net in base 2	[i]
15	No (37, 125, 58)-net in base 2	[i]
16	No (37, 126, 58)-net in base 2	[i]
17	No (37, 127, 58)-net in base 2	[i]
18	No (37, 128, 58)-net in base 2	[i]
19	No (37, 129, 58)-net in base 2	[i]
20	No (37, 130, 58)-net in base 2	[i]
21	No (37, 131, 58)-net in base 2	[i]
22	No (37, 132, 58)-net in base 2	[i]
23	No (37, 133, 58)-net in base 2	[i]
24	No (37, 134, 58)-net in base 2	[i]
25	No (37, 135, 58)-net in base 2	[i]
26	No (37, 136, 58)-net in base 2	[i]
27	No (37, 137, 58)-net in base 2	[i]
28	No (37, 138, 58)-net in base 2	[i]
29	No (37, 139, 58)-net in base 2	[i]
30	No (37, 140, 58)-net in base 2	[i]
31	No (37, 141, 58)-net in base 2	[i]
32	No (37, 142, 58)-net in base 2	[i]
33	No (37, 143, 58)-net in base 2	[i]